Answer: 24) C. SSS only
26) D. DH = HF
<u>Step-by-step explanation:</u>
24.
<u>Statement</u> <u>Reason</u>
1. BD = CA 1. Given
2. AB = CD 2. Given
3. AD = AD 3. Reflexive Property
4. ΔABD = ΔDCA 4. SSS Congruency Theorem
<em>We have no information about the angles so cannot use SAS Theorem.</em>
26. G H F
E H D
Line up the letters to find the congruent sides:
⇒ GH = EH
HF = HD
GF = ED
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Answer:
Step-by-step explanation:
Remark.
I take it we are only concerned with the deep lime face that we can see closest to us.
Construction
Draw one line that goes from the right of the left foot up to the 18 foot line
Draw another line that goes from the left of the right foot up to the 18 foot line.
label the width of the right foot as 18 - 6 - 6 = 6
Solution
Right foot
Area = L * w
L = 12 feet
w = 6 feet
Area = 12*6 = 72
Left foot (same area) 72
Area above the door.
Height = 12 - 6 = 6
width 6
Area = 6 * 6 = 36
Answer: Total Area = 72 + 72 + 36 = 180
When two parallel lines are intersected by a transversal, the same-side exterior angles are supplementary. That means that their sum is 180.
Using that logic, if the two roads were parallel, then the sum of their same-side exterior angles will add up to 180. Yet their same-side exterior angles add up to 170 (130 + 40 = 170), hence they can't be parallel.
See the drawing attached below.
Using supplmenatry angles (two angles whose sum of measures add up to 180 or a straight line), we can say that:
m<DIE + m<HID = 18
40 + m<HID = 180
m<HID = 140
Similarly:
m<BHC + m<CHI = 180
130 + m<CHI = 180
m<CHI = 50
Using verticle angles therome, (when two lines intersect, the angles opposite to eachother are congruent, or have the same measure), we can say that:
m<DIE = m<GIH = 40
m<GIE = m<HID = 140
m<CHI = m<AHB = 50
m<BHC = m<AHI = 130
I think it’s A because they only intersect once.